# Evaluate (-1/3)^2+5/6(-2/5)

(-13)2+56(-25)
Simplify each term.
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -13.
(-1)2(13)2+56⋅(-25)
Apply the product rule to 13.
(-1)21232+56⋅(-25)
(-1)21232+56⋅(-25)
Raise -1 to the power of 2.
11232+56⋅(-25)
Multiply 1232 by 1.
1232+56⋅(-25)
One to any power is one.
132+56⋅(-25)
Raise 3 to the power of 2.
19+56⋅(-25)
Cancel the common factor of 5.
Move the leading negative in -25 into the numerator.
19+56⋅-25
Cancel the common factor.
19+56⋅-25
Rewrite the expression.
19+16⋅-2
19+16⋅-2
Cancel the common factor of 2.
Factor 2 out of 6.
19+12(3)⋅-2
Factor 2 out of -2.
19+12⋅3⋅(2⋅-1)
Cancel the common factor.
19+12⋅3⋅(2⋅-1)
Rewrite the expression.
19+13⋅-1
19+13⋅-1
Combine 13 and -1.
19+-13
Move the negative in front of the fraction.
19-13
19-13
To write -13 as a fraction with a common denominator, multiply by 33.
19-13⋅33
Write each expression with a common denominator of 9, by multiplying each by an appropriate factor of 1.
Multiply 13 and 33.
19-33⋅3
Multiply 3 by 3.
19-39
19-39
Combine the numerators over the common denominator.
1-39
Subtract 3 from 1.
-29
Move the negative in front of the fraction.
-29
The result can be shown in multiple forms.
Exact Form:
-29
Decimal Form:
-0.2‾
Evaluate (-1/3)^2+5/6(-2/5)

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